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GMAT Club Tests | M40-06

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sylk123 wrote:

Hi, I'm confused by 78 as one of the values. Isnt the remainder of 85 divided by 156 70, not 85?

Also, if we know that n is even, why do we not test 2 and 6 as well, to verify that these 2 options should be eliminated?

Thank you in advance for anyclarification!


When dividing a smaller number by a larger one, the quotient is 0 and the remainder is the smaller number itself. Forexample:

  • Dividing 3 by 4, the quotient is 0 and the remainder is 3 (3 = 4 * 0 +3).
  • Dividing 9 by 14, the quotient is 0 and the remainder is 9 (9 = 14 * 0 +9).
  • Dividing 1 by 9, the quotient is 0 and the remainder is 1 (1 = 9 * 0 +1).


This is like having 60 apples and trying to put them evenly into 120 baskets. Each basket gets 0 apples, and you're left with all 60 apples as the remainder.

As for your other question, it's explained in thesolution:

    The first equation,\( 85 = nq +7\) , simplifies to\( nq =78\) , indicating that\(n\) is a factor of 78. The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and
    ...

    Statistics : Posted by Bunuel • on 08 Nov 2023, 11:06 • Replies 3 • Views 446



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